# GM5-7: Construct and describe simple loci.

Elaboration on this Achievement Objective

This means that students will draw the graph of linear and simple quadratic equations. They will also be able to identify the linear equation for the graph of a given simple loci.

They will also describe the common properties of points on a circle or ellipse and recognise the circle as a special case of the ellipse.

All points on a circle are the same distance from the centre. That distance is the radius.

All points on an ellipse share a common sum of distances to two foci. As the foci close the ellipse “morphs” into a circle.